# SPDX-License-Identifier: GPL-2.0-or-later
# Author: DreamPainter
import bpy
from bpy.props import (
FloatProperty,
BoolProperty,
IntProperty,
StringProperty,
)
from math import pi, cos, sin
from mathutils import Vector
from bpy_extras import object_utils
# A very simple "bridge" tool
def createFaces(vertIdx1, vertIdx2, closed=False, flipped=False):
faces = []
if not vertIdx1 or not vertIdx2:
return None
if len(vertIdx1) < 2 and len(vertIdx2) < 2:
return None
fan = False
if (len(vertIdx1) != len(vertIdx2)):
if (len(vertIdx1) == 1 and len(vertIdx2) > 1):
fan = True
else:
return None
total = len(vertIdx2)
if closed:
# Bridge the start with the end.
if flipped:
face = [
vertIdx1[0],
vertIdx2[0],
vertIdx2[total - 1]]
if not fan:
face.append(vertIdx1[total - 1])
faces.append(face)
else:
face = [vertIdx2[0], vertIdx1[0]]
if not fan:
face.append(vertIdx1[total - 1])
face.append(vertIdx2[total - 1])
faces.append(face)
# Bridge the rest of the faces.
for num in range(total - 1):
if flipped:
if fan:
face = [vertIdx2[num], vertIdx1[0], vertIdx2[num + 1]]
else:
face = [vertIdx2[num], vertIdx1[num],
vertIdx1[num + 1], vertIdx2[num + 1]]
faces.append(face)
else:
if fan:
face = [vertIdx1[0], vertIdx2[num], vertIdx2[num + 1]]
else:
face = [vertIdx1[num], vertIdx2[num],
vertIdx2[num + 1], vertIdx1[num + 1]]
faces.append(face)
return faces
def power(a, b):
if a < 0:
return -((-a) ** b)
return a ** b
def supertoroid(R, r, u, v, n1, n2):
"""
R = big radius
r = small radius
u = lateral segmentation
v = radial segmentation
n1 = value determines the shape of the torus
n2 = value determines the shape of the cross-section
"""
# create the necessary constants
a = 2 * pi / u
b = 2 * pi / v
verts = []
faces = []
# create each cross-section by calculating each vector on the
# the wannabe circle
# x = (cos(theta) ** n1)*(R + r * (cos(phi) ** n2))
# y = (sin(theta) ** n1)*(R + r * (cos(phi) ** n2))
# z = (r * sin(phi) ** n2)
# with theta and phi ranging from 0 to 2pi
for i in range(u):
s = power(sin(i * a), n1)
c = power(cos(i * a), n1)
for j in range(v):
c2 = R + r * power(cos(j * b), n2)
s2 = r * power(sin(j * b), n2)
verts.append(Vector((c * c2, s * c2, s2)))
# bridge the last circle with the previous circle
if i > 0: # but not for the first circle, 'cus there's no previous before the first
f = createFaces(range((i - 1) * v, i * v), range(i * v, (i + 1) * v), closed=True)
faces.extend(f)
# bridge the last circle with the first
f = createFaces(range((u - 1) * v, u * v), range(v), closed=True)
faces.extend(f)
return verts, faces
class add_supertoroid(bpy.types.Operator, object_utils.AddObjectHelper):
bl_idname = "mesh.primitive_supertoroid_add"
bl_label = "Add SuperToroid"
bl_description = "Construct a supertoroid mesh"
bl_options = {'REGISTER', 'UNDO', 'PRESET'}
SuperToroid : BoolProperty(name = "SuperToroid",
default = True,
description = "SuperToroid")
change : BoolProperty(name = "Change",
default = False,
description = "change SuperToroid")
R: FloatProperty(
name="Big radius",
description="The radius inside the tube",
default=1.0,
min=0.01, max=100.0
)
r: FloatProperty(
name="Small radius",
description="The radius of the tube",
default=0.3,
min=0.01, max=100.0
)
u: IntProperty(
name="U-segments",
description="Radial segmentation",
default=16,
min=3, max=265
)
v: IntProperty(
name="V-segments",
description="Lateral segmentation",
default=8,
min=3, max=265
)
n1: FloatProperty(
name="Ring manipulator",
description="Manipulates the shape of the Ring",
default=1.0,
min=0.01, max=100.0
)
n2: FloatProperty(
name="Cross manipulator",
description="Manipulates the shape of the cross-section",
default=1.0,
min=0.01, max=100.0
)
ie: BoolProperty(
name="Use Int. and Ext. radii",
description="Use internal and external radii",
default=False
)
edit: BoolProperty(
name="",
description="",
default=False,
options={'HIDDEN'}
)
def draw(self, context):
layout = self.layout
layout.prop(self, 'R', expand=True)
layout.prop(self, 'r', expand=True)
layout.prop(self, 'u', expand=True)
layout.prop(self, 'v', expand=True)
layout.prop(self, 'n1', expand=True)
layout.prop(self, 'n2', expand=True)
layout.prop(self, 'ie', expand=True)
if self.change == False:
col = layout.column(align=True)
col.prop(self, 'align', expand=True)
col = layout.column(align=True)
col.prop(self, 'location', expand=True)
col = layout.column(align=True)
col.prop(self, 'rotation', expand=True)
def execute(self, context):
# turn off 'Enter Edit Mode'
use_enter_edit_mode = bpy.context.preferences.edit.use_enter_edit_mode
bpy.context.preferences.edit.use_enter_edit_mode = False
props = self.properties
# check how the radii properties must be used
if props.ie:
rad1 = (props.R + props.r) / 2
rad2 = (props.R - props.r) / 2
# for consistency in the mesh, ie no crossing faces, make the largest of the two
# the outer radius
if rad2 > rad1:
[rad1, rad2] = [rad2, rad1]
else:
rad1 = props.R
rad2 = props.r
# again for consistency, make the radius in the tube,
# at least as big as the radius of the tube
if rad2 > rad1:
rad1 = rad2
if bpy.context.mode == "OBJECT":
if context.selected_objects != [] and context.active_object and \
(context.active_object.data is not None) and ('SuperToroid' in context.active_object.data.keys()) and \
(self.change == True):
obj = context.active_object
oldmesh = obj.data
oldmeshname = obj.data.name
verts, faces = supertoroid(rad1,
rad2,
props.u,
props.v,
props.n1,
props.n2
)
mesh = bpy.data.meshes.new('SuperToroid')
mesh.from_pydata(verts, [], faces)
obj.data = mesh
for material in oldmesh.materials:
obj.data.materials.append(material)
bpy.data.meshes.remove(oldmesh)
obj.data.name = oldmeshname
else:
verts, faces = supertoroid(rad1,
rad2,
props.u,
props.v,
props.n1,
props.n2
)
mesh = bpy.data.meshes.new('SuperToroid')
mesh.from_pydata(verts, [], faces)
obj = object_utils.object_data_add(context, mesh, operator=self)
obj.data["SuperToroid"] = True
obj.data["change"] = False
for prm in SuperToroidParameters():
obj.data[prm] = getattr(self, prm)
if bpy.context.mode == "EDIT_MESH":
active_object = context.active_object
name_active_object = active_object.name
bpy.ops.object.mode_set(mode='OBJECT')
verts, faces = supertoroid(rad1,
rad2,
props.u,
props.v,
props.n1,
props.n2
)
mesh = bpy.data.meshes.new('SuperToroid')
mesh.from_pydata(verts, [], faces)
obj = object_utils.object_data_add(context, mesh, operator=self)
obj.select_set(True)
active_object.select_set(True)
bpy.context.view_layer.objects.active = active_object
bpy.ops.object.join()
context.active_object.name = name_active_object
bpy.ops.object.mode_set(mode='EDIT')
if use_enter_edit_mode:
bpy.ops.object.mode_set(mode = 'EDIT')
# restore pre operator state
bpy.context.preferences.edit.use_enter_edit_mode = use_enter_edit_mode
return {'FINISHED'}
def SuperToroidParameters():
SuperToroidParameters = [
"R",
"r",
"u",
"v",
"n1",
"n2",
"ie",
"edit",
]
return SuperToroidParameters